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9990909900 = 22335210136637
BaseRepresentation
bin10010100111000000…
…10010111111001100
3221210021122210212000
421103200102333030
5130430133104100
64331215512300
7502404222126
oct112340227714
927707583760
109990909900
114267676534
121b29b28690
13c32b56b0a
146aac78216
153d71b4900
hex253812fcc

9990909900 has 144 divisors (see below), whose sum is σ = 32437819680. Its totient is φ = 2637792000.

The previous prime is 9990909899. The next prime is 9990909931. The reversal of 9990909900 is 99090999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254382 + ... + 291018.

Almost surely, 29990909900 is an apocalyptic number.

9990909900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218909840).

9990909900 is an abundant number, since it is smaller than the sum of its proper divisors (22446909780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9990909900 is a wasteful number, since it uses less digits than its factorization.

9990909900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36761 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 9990909900 is about 99954.5391665631. The cubic root of 9990909900 is about 2153.7816912386.

The spelling of 9990909900 in words is "nine billion, nine hundred ninety million, nine hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 101 108 135 150 180 202 225 270 300 303 404 450 505 540 606 675 900 909 1010 1212 1350 1515 1818 2020 2525 2700 2727 3030 3636 4545 5050 5454 6060 7575 9090 10100 10908 13635 15150 18180 22725 27270 30300 36637 45450 54540 68175 73274 90900 109911 136350 146548 183185 219822 272700 329733 366370 439644 549555 659466 732740 915925 989199 1099110 1318932 1648665 1831850 1978398 2198220 2747775 3297330 3663700 3700337 3956796 4945995 5495550 6594660 7400674 8243325 9891990 10991100 11101011 14801348 16486650 18501685 19783980 22202022 24729975 32973300 33303033 37003370 44404044 49459950 55505055 66606066 74006740 92508425 98919900 99909099 111010110 133212132 166515165 185016850 199818198 222020220 277525275 333030330 370033700 399636396 499545495 555050550 666060660 832575825 999090990 1110101100 1665151650 1998181980 2497727475 3330303300 4995454950 9990909900